I only need solutions/explanations. These are the answers 1)A 2)C 3)A 4)D 5)B 6)D 7)C 8)A 9)D 10)D 11)C 12)A 13)C 14)B 15)A
What do you call the graph of a system of linear equations in two variables which shows only one solution? 10. Using the graph in Item No. 9, which system of equations is represented by the graph? A. intersecting C. parallel B. coinciding D. perpendicular A. (x + 3y = -3 C. [x - 3y = 3 (2x + 3y = 6 (3+ 2y = 6 How do you describe the graphs of the system of linear equations in two variables which B. (x + 3y = 3 D. [x - 3y = 3 has no solution? 13x + 2y = 6 12x + 3y = 6 A. coinciding C. parallel B. intersecting . perpendicular 11. Which system of equation has intersecting graphs? How many solutions does a system of linear equation in two variables has if the graphs A. Jx+ y = 3 C. 2x - y = 2 (x+y =2 13x+ y = 2 are intersecting? A. one C. no solution B. ( 3x - 2y = 5 D. [ 3x + y = 2 B. two D. infinitely many 16x - 4y = 10 (3x + y = -2 How many solutions does a system of linear equation in two variables has if the slopes of the lines are equal and the y-intercepts are also equal? 12. Which of the following is the graph of the system (3x - y = 32 (2x + y = 2' A. one C. no solution B. two D. infinitely many C. What do you call the system of linear equations in two variables having infinitely many solutions? A. inconsistent C. consistent and independent B. consistent and dependent D. inconsistent and dependent B What is the first step in graphing system of linear equations in two variables using slope D. and y-intercept? A. Determine the slope and y-intercept of each equation. Plot the point containing the y-intercepts of each equation. . Use the slopes to locate the other points of each equation. D. Write each equation into the slope-intercept form y = mx + b. What is the equivalent slope-intercept form of each equation in the system (3x - y = -10 (2x+ y = -5 3 A. Sy = 2x + 5 C. ) = -2x - 5 by = 3x - 10 ly = 3x + 10 B. (y = -2x + 5 . [) = 2x - 5 (y = 3x + 10 ly = 3x - 10 2 13. Which system of equation has coinciding graphs? 2x + 5y = 10 xty = -2 ( 2x + 5y = -10 C. 13x + 3y = -6 B. [2x - 3y = 5 [5x - 2y = 7 ( x + 3y = 1 D. 13x + 2y = 9 . If you will graph the system = 3x - 2 "(2x + y = 8 . then what is the point of intersection of the wo graphs? m $ 2x +y = 3 14. What value of k will make the graph of the system , + ky = 6 coinciding? A. (2,4) C. (3, -2) A. 4 C. 0 B. (4,2) D. (-6, -20) B. 2 ). -2 . What is the solution to the system of equations shown in the graph? 15. Jane was asked by her Mathematics teacher to graph a system of linear equations in two A. (0,-1) variables. After following all the steps in solving linear equations in by graphing, she was B. (0,2) able to draw lines that are parallel to each other. Which of the following can Jane conclude C. (0,3) about the solutions of the system? D. (3,0) A. It has no solution. 3. It has one solution. C. It has two solutions. D. It has infinitely many solutions